220 
m. W. FAIEBAIEX AND :ME. T. TATE OX THE DEXSITT 
Table showing the relation of Density, Pressure, and Temperature of Saturated Steam. 
Number 
of 
experiment. 
Pressure, in 
inches of 
merciiry. 
P. 
Maximum 
temperature 
of saturation. 
t. 
Specific 
Tolume from 
experiment. 
V. 
Specific 
volume from 
formula (7.). 
V. 
Proportional 
error of 
formula (7.). 
5-35 
136-77 
8275-3 
8183 
_ 1 
y u 
2. 
8-62 
155-33 
533.3-5 
5326 
, 1 
7 2 
3. 
9-45 
159-36 
4920-2 
4900 
1 
2 4 6 
4. 
12-47 
170-92 
3722-6 
3766 
+iT 
5. 
12-61 
171-48 
3715-1 
3740 
+ Ti9 
6. 
13-62 
174-92 
3438-1 
00 
CO 
+ Ai’ 
7. 
16-01 
182-30 
3051-0 
2985 
1 
4 6 
8. 
18-36 
188-30 
2623-4 
2620 
+ Fk 
9 . 
22-88 
198-78 
2149-5 
2124 
1 
y u 
1'. 
53-61 
242-90 
943-1 
937 
1 
I 0 7 
2'. 
55-52 
244-82 
908-0 
906 
4 5 4 
3'. 
55-89 
245-22 
892-5 
0 
0 
+ TfT 
4'. 
66-84 
255-50 
759-4 
00 
1 
7 5 9 
5'. 
76-20 
263-14 
649-2 
669 
+^2 
6'. 
81-53 
267-21 
635-3 
628 
1 1 
y 1 
7'. 
84-20 
269-20 
605-7 
608 
j i_ 
•304 
8'. 
92-23 
274-76 
584-4 
562 
^ 1 
9'. 
90-08 
273-30 
543-2 
545 
' +2TT 
10'. 
99-60 
279-42 
515-0 
519 
+ Th 
11'. 
104-54 
282-58 
497-2 
496 
1 
4irf 
12'. 
112-78 
287-25 
458-3 
461 
1 
13'. 
122-25 
292-53 
433-1 
428 
_ 1 i 
14'. 
114-25 
288-25 
449-6 
456 
+ 7V 
O71 the Law of Lxpansiooi of Superheated Steam. 
Adopting the notation already employed, and putting r for the rate or coefficient of 
expansion of an elastic fluid at t^ temperature, we And 
1 
^ 1 
where - represents the rate of expansion at zero of temperature. 
^”4^9’ 212 ° the rate of expansion ^*= 459^010 =^6^’ 
C^-) 
In the case of air 
and so on to other 
cases. 
This formula is strictly true for all perfectly elastic fluids such as air; and if the 
intervals (i^a — ^i) and {p2—P\) small, it will give, M’ith a near approach to truth, the 
rate of expansion of any imperfectly elastic fluid, such as superheated steam. 
